Thermal radiation effect on an unsteady MHD free convective chemically reacting viscous dissipative fluid flow past an infinite vertical moving porous plate with Heat source

Numerical solutions for heat and mass transfer by laminar flow of a Newtonian, viscous, electrically conducting chemically reacting viscous dissipative fluid on a continuously vertical permeable surface in the presence of a heat source, a first – order homogeneous chemical reaction and the mass flux are reported. The plate is assumed to move with a constant velocity in the direction of fluid flow. A uniform magnetic field acts perpendicular to the porous surface, which absorbs the fluid with a suction velocity varying with time. The fluid is considered to be a gray, absorbing emitting but non – scattering medium and the Rosseland approximation is used to describe the radiative heat flux in the energy equation. The problem is governed by coupled non – linear partial differential equations. Dimensionless equations of the problem have been solved numerically by finite element method. The effects of flow parameters, viz. thermal Grashof number, solutal Grashof number, Hartmann number, Permeability parameter, Thermal radiation parameter, Prandtl number, Heat source parameter, Schmidt number and Eckert number on velocity, temperature and concentration fields are investigated through graphs. Skin friction, Rate of heat and mass transfer coefficients are derived, discussed numerically and presented in tabular forms. The combined heat and mass transfer plays an important role are designing chemical processing equipment, formation and dispersion of fog, distribution of temperature and moisture over agricultural fields and groves of fruit trees, crop damage due to freezing, and environmental pollution.